Mr. Scruggs got some money for his birthday. He spent 1/5 of it on dog treats. Then, he divided the remainder equally among his 3 favorite charities.
a. What fraction of his money did each charity receive?
b. If he donated $60 to each charity, how much money did he receive for his birthday?

Respuesta :

Answer:

a. [tex]\frac{4a}{15}[/tex]

b. $225

Step-by-step explanation:

Let Mr. Scruggs got money for his birthday be 'a'

He spent [tex]\frac{1}{5}[/tex] of it on dog treats = a × [tex]\frac{1}{5}[/tex]

                                                                      = [tex]\frac{1}{5}a[/tex]

remainder amount would be = a - [tex]\frac{1}{5}a[/tex]

                                                = [tex]\frac{4a}{5}[/tex]

Then he divided the remainder money equally among 3 favorite charities.

[tex]\frac{\frac{4a}{5}}{3}[/tex]

= [tex]\frac{4a}{15}[/tex]

a. Each charity receive [tex]\frac{4a}{15}[/tex]

b. If he donated $60 to each charity.

[tex]\frac{4a}{15}=60[/tex]

[tex]a=\frac{15\times 60}{4}[/tex]

a = $225

Mr. Scruggs received $225 for his birthday.

Q&A Education